All ACT Math Resources
Example Question #1 : Trigonometry
What is the tangent of C in the given right triangle??
Tangent = Opposite / Adjacent
Example Question #1 : Tangent
Consider a right triangle with an inner angle .
what is ?
The tangent of an angle x is defined as
Substituting the given values for cos x and sin x, we get
Example Question #1 : How To Find The Tangent Of An Angle
Triangle ABC shown is a right triangle. If the tangent of angle C is , what is the length of segment BC?
Use the definition of the tangent and plug in the values given:
tangent C = Opposite / Adjacent = AB / BC = 3 / 7
Therefore, BC = 7.
Example Question #2 : How To Find The Tangent Of An Angle
If the sine of an angle equals , and the cosine of the same angle equals , what is the tangent of the angle?
The cosine of the angle is and since that is a reduced fraction, we know the hypotenuse is and the adjacent side equals .
The sine of the angle equals , and since the hyptenuse is already we know that we must multiply the numerator and denominator by to get the common denominator of . Therefore, the opposite side equals .
Since , the answer is .